Home
Class 11
ECONOMICS
From the following table, calculate the ...

From the following table, calculate the coefficient of correlation by Karl Pearson's method:

Arithmetic means of X and Y series are 6 and 8 respectively.

Text Solution

Verified by Experts

Let us first and missing value of Y and let us denote it by a .
`bar(Y)=(sumY)/(N)=(9+11+a+8+7)/(5)=(35+a)/(5)`
`implies 8=(35+a)/(5)`
`:. 35+a=40`
`implies a=5`
Thus, the complete series is :

Now we find the coefficient of correlation.

`r=(sumxy)/(sqrt(sumx^(2)xxsumy^(2)))`
The table shows that ` sumxy=-26,sum x^(2)=40,sumy^(2)=20`
Substituting the values, we get
`r=(-26)/(sqrt(10xx20))`
`=(-26)/(sqrt(800))=(-26)/(28.28)`
`=-0.92`
Coefficient of Correlation (r)= -0.92
Promotional Banner

Topper's Solved these Questions

  • CORRELATION

    TARUN JAIN & VK OHRI|Exercise Learning by doing|5 Videos

  • CORRELATION

    TARUN JAIN & VK OHRI|Exercise Objective type questions|9 Videos

  • CONCEPT OF ECONOMICS AND SIGNIFICANCE OF STATISTICS IN ECONOMICS

    TARUN JAIN & VK OHRI|Exercise NCERT Questions|6 Videos

  • DIAGRAMMATIC PRESENTATION OF DATA BAR DIAGRAMS AND PIE DIAGRAMS

    TARUN JAIN & VK OHRI|Exercise NCERT Question (With Hints to Answers)|3 Videos

Similar Questions

Explore conceptually related problems

Calculate coefficient of correlation between series X and Y.

Calculate correlation of the following data using Karl Pearson's method:

From the following information, determine coefficient of correlation between X and Y series.

Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider the following statements: 1. The coefficient of correlations r is (3)/(4) . 2. The means of x and y are 3 and 4 respectively. Which of the above statements is/are correct ?

From the following data, determine Karl Pearson's coefficient of correlation between X and Y series for 15 pairs .